Question

Find the first 5 terms of the sequence
A(n)=n+A(n-1) a1 = 3

Answer 1

A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17

Explanation:

Given A(n) = n + A(n–1) a1 = 3.

A(1) = 3.

A(2) = (2) + A(2–1)

= (2) + A(1)

= (2) + (3) = 5

A(3) = (3) + A(3-1)

= (3) + A(2)

= (3) + (5) = 8

A(4) = (4) + A(4–1)

= (4) + A(3)

= (4) + (8) = 12

A(5) = (5) + A(5–1)

= (5) + A(4)

= (5) + (12) = 17